106321830 has 32 divisors (see below), whose sum is σ = 263973600. Its totient is φ = 27374592.

The previous prime is 106321829. The next prime is 106321837. The reversal of 106321830 is 38123601.

It is a super-2 number, since 2×106321830² = 22608663069097800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106321830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106321837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60235 + ... + 61974.

It is an arithmetic number, because the mean of its divisors is an integer number (8249175).

Almost surely, 2^106321830 is an apocalyptic number.

106321830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106321830 is an abundant number, since it is smaller than the sum of its proper divisors (157651770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106321830 is a wasteful number, since it uses less digits than its factorization.

106321830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122248.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106321830 is about 10311.2477421503. The cubic root of 106321830 is about 473.7408275341.

The spelling of 106321830 in words is "one hundred six million, three hundred twenty-one thousand, eight hundred thirty".